The prime factorization of 27000 is 2 3×3 3×5 3.
How many positive integer factors (includes composite and prime) does 27000 have?
27000 has 64 factors.
Here is how the number of factors were calculated:
//In the future enter php code here to demonstrate how to find the number of factors.
The power factor one-dimensional arrays are:
Powers of 2: Array
(
[0] => 1
[1] => 2
[2] => 4
[3] => 8
)
Powers of 3: Array
(
[0] => 1
[1] => 3
[2] => 9
[3] => 27
)
Powers of 5: Array
(
[0] => 1
[1] => 5
[2] => 25
[3] => 125
)
The 64 composite factors of 27000 are listed in the array below:
Array
(
[0] => Array
(
[0] => Array
(
[0] => 1
[1] => 5
[2] => 25
[3] => 125
)
[1] => Array
(
[0] => 3
[1] => 15
[2] => 75
[3] => 375
)
[2] => Array
(
[0] => 9
[1] => 45
[2] => 225
[3] => 1125
)
[3] => Array
(
[0] => 27
[1] => 135
[2] => 675
[3] => 3375
)
)
[1] => Array
(
[0] => Array
(
[0] => 2
[1] => 10
[2] => 50
[3] => 250
)
[1] => Array
(
[0] => 6
[1] => 30
[2] => 150
[3] => 750
)
[2] => Array
(
[0] => 18
[1] => 90
[2] => 450
[3] => 2250
)
[3] => Array
(
[0] => 54
[1] => 270
[2] => 1350
[3] => 6750
)
)
[2] => Array
(
[0] => Array
(
[0] => 4
[1] => 20
[2] => 100
[3] => 500
)
[1] => Array
(
[0] => 12
[1] => 60
[2] => 300
[3] => 1500
)
[2] => Array
(
[0] => 36
[1] => 180
[2] => 900
[3] => 4500
)
[3] => Array
(
[0] => 108
[1] => 540
[2] => 2700
[3] => 13500
)
)
[3] => Array
(
[0] => Array
(
[0] => 8
[1] => 40
[2] => 200
[3] => 1000
)
[1] => Array
(
[0] => 24
[1] => 120
[2] => 600
[3] => 3000
)
[2] => Array
(
[0] => 72
[1] => 360
[2] => 1800
[3] => 9000
)
[3] => Array
(
[0] => 216
[1] => 1080
[2] => 5400
[3] => 27000
)
)
)
The composite factors listed in the array above are:
1 5 25 125 3 15 75 375 9 45 225 1125 27 135 675 3375 2 10 50 250 6 30 150 750 18 90 450 2250 54 270 1350 6750 4 20 100 500 12 60 300 1500 36 180 900 4500 108 540 2700 13500 8 40 200 1000 24 120 600 3000 72 360 1800 9000 216 1080 5400 27000
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000